{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "288a7de1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6de53896",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f3b8af885b0>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lines = np.loadtxt('../data/lr_dataset.csv',delimiter=',',dtype=float)\n",
    "x_total = lines[:,:2]\n",
    "y_total = lines[:,2]\n",
    "\n",
    "plt.figure()\n",
    "plt.scatter(x_total[y_total==0,0],x_total[y_total==0,1],c='blue',marker='o',s=10)\n",
    "plt.scatter(x_total[y_total==1,0],x_total[y_total==1,1],c='red',marker='x',s=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ccd977b7",
   "metadata": {},
   "outputs": [],
   "source": [
    "def acc(y_true, y_pred):\n",
    "    return (y_true==y_pred).mean()\n",
    "\n",
    "def auc(y_true, y_pred):\n",
    "    idx = np.argsort(y_pred)[0]\n",
    "    y_true = y_true[idx]\n",
    "    t = np.cumsum(y_true)\n",
    "    f = np.cumsum(1 - y_true)\n",
    "    tpr = (t[-1]-t)/t[-1]\n",
    "    fpr = (f[-1]-f)/f[-1]\n",
    "    tpr = np.concatenate([[1],tpr])\n",
    "    fpr = np.concatenate([[1],fpr])\n",
    "    s = 0.0\n",
    "    for i in range(1,len(fpr)):\n",
    "        s += tpr[i] * (fpr[i-1] - fpr[i])\n",
    "    return s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "833b14a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "ratio = 0.7\n",
    "split = int(len(x_total)*ratio)\n",
    "np.random.seed(0)\n",
    "idx = np.random.permutation(len(x_total))\n",
    "x_total = x_total[idx]\n",
    "y_total = y_total[idx]\n",
    "x_train, x_test = x_total[:split], x_total[split:]\n",
    "y_train, y_test = y_total[:split], y_total[split:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "af81e85c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def logistic(z):\n",
    "    return 1 / (1 + np.exp(-z))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "15200148",
   "metadata": {},
   "outputs": [],
   "source": [
    "l2_coef = 1.0\n",
    "learning_rate = 0.002\n",
    "max_training = 300\n",
    "X = np.concatenate([np.ones(len(x_train)).reshape(-1,1), x_train], axis=1)\n",
    "X_test = np.concatenate([np.ones(len(x_test)).reshape(-1,1), x_test], axis=1)\n",
    "y = y_train.reshape(-1,1)\n",
    "y_test = y_test.reshape(-1,1)\n",
    "theta = np.random.normal(size=(3,1))\n",
    "\n",
    "train_losses = []\n",
    "test_losses = []\n",
    "train_acc = []\n",
    "test_acc = []\n",
    "train_auc = []\n",
    "test_auc = []\n",
    "for epoch in range(max_training):\n",
    "    y_pred = logistic(X @ theta)\n",
    "    y_test_pred = logistic(X_test @ theta)\n",
    "\n",
    "    train_loss = -y.T @ np.log(y_pred) - (1 - y.T) @ np.log(1 - y_pred)\n",
    "    train_losses.append(train_loss[0] / len(y_pred))\n",
    "    test_loss = -y_test.T @ np.log(y_test_pred) - (1 - y_test.T) @ np.log(1 - y_test_pred)\n",
    "    test_losses.append(test_loss[0] / len(y_test))\n",
    "    train_acc.append(acc(y,(y_pred>=0.5)))\n",
    "    test_acc.append(acc(y_test,(y_test_pred>=0.5)))\n",
    "\n",
    "    \n",
    "    train_auc.append(auc(y.reshape(1,-1)[0],y_pred.reshape(1,-1)))\n",
    "    test_auc.append(auc(y_test.reshape(1,-1)[0],y_test_pred.reshape(1,-1)))\n",
    "\n",
    "    grad = -X.T @ (y - logistic(X @ theta)) + l2_coef * theta\n",
    "    theta = theta - learning_rate * grad\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "797ae34e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f3b88d7fcd0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1300x900 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(13,9))\n",
    "plt.subplot(221)\n",
    "plt.plot(np.arange(max_training)+1, train_losses, color='blue')\n",
    "plt.plot(np.arange(max_training)+1, test_losses, color='red')\n",
    "\n",
    "plt.subplot(222)\n",
    "plt.plot(np.arange(max_training)+1, train_acc, color='blue')\n",
    "plt.plot(np.arange(max_training)+1, test_acc, color='red')\n",
    "\n",
    "plt.subplot(223)\n",
    "plt.plot(np.arange(max_training)+1, train_auc, color='blue')\n",
    "plt.plot(np.arange(max_training)+1, test_auc, color='red')\n",
    "\n",
    "plt.subplot(224)\n",
    "plt.scatter(x_total[y_total==0,0],x_total[y_total==0,1],c='blue',marker='o',s=10)\n",
    "plt.scatter(x_total[y_total==1,0],x_total[y_total==1,1],c='red',marker='x',s=10)\n",
    "plot_x = np.linspace(-1,0.75,1000)\n",
    "plot_y = - (theta[0] + plot_x * theta[1] ) /theta[2]\n",
    "plt.scatter(plot_x,plot_y,c='green',marker='x',s=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1c3da96b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.55146616],\n",
       "       [3.13843384],\n",
       "       [2.91336737]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "theta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ad4a1a22",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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